# Answer to Question #20061 in Statistics and Probability for Tyler

Question #20061

A customer service manager of State Electric Co. monitors operators taking orders by phone. The average time for a phone call, in seconds, is used as one summary of the activity for the shift. The average times, for 15 persons, are

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226 269 179 214 186 208 189

a. Stating any assumption(s) you make, obtain 95% confidence interval for the population mean.

b. Test H_o: μ=207 versus H_1: μ ≠207 with α=0.05. What assumption(s) must you make to carry out this test? Determine the p-value and comment on its size.

195 223 220 237 271 239 285 262

226 269 179 214 186 208 189

a. Stating any assumption(s) you make, obtain 95% confidence interval for the population mean.

b. Test H_o: μ=207 versus H_1: μ ≠207 with α=0.05. What assumption(s) must you make to carry out this test? Determine the p-value and comment on its size.

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